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Finding the Fourth Proportional to 589,644.64, 813,884.70 and 382,907.56

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Solution

The fourth proportional to 589,644.64, 813,884.70 and 382,907.56 is: 528,526.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,644.64 : 813,884.70 = 382,907.56 : x
  2. Step 2: Convert to fraction form
    589,644.64/813,884.70 = 382,907.56/x
  3. Step 3: Cross multiply
    589,644.64x = 813,884.70 × 382,907.56
  4. Step 4: Simplify right side
    589,644.64x = 311,642,604,598.33
  5. Step 5: Solve for x
    x = 311,642,604,598.33/589,644.64
  6. Step 6: Final answer
    x = 528,526.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.